I'm trying to calculate some steps or stages for a graph and am having
trouble, basically I'm trying to calculate a line between a point x,y
to a point on a line between x1,y1 and x2,y2 that looks some like
this:

.x2,y2(8,6)
/
/-----------------------------------x,y(13,3)
/
.x1,y1(1,1)

I think I got the slope 5/7=0.7142857, but I'm looking for the
equation to calculate line between a point x,y to a point on a line
between x1,y1 and x2,y.

Go easy on me, I haven't been to school in 35 years.